If points A and B are randomly placed

Hi guerrero,

First off, a "chord" is defined as a line that connects any two points on the circumference of a circle. The longest chord on any circle is the diameter of the circle, but any two points can form a cord.

To solve this question, try this….For this question, we have a radius of 2. Pick a point on the circumference. If you draw a cord with a length of 2 from that point, you can then draw two radii to those two points to form a triangle. What type of triangle has three sides that are all the same length? An equilateral triangle, which has angles of 60/60/60.

Now, from your starting point, draw another cord of length 2 in the other direction. You'll end up repeating the steps above and you'll end up with another 60/60/60 triangle.

Those two central angles: 60 + 60 = 120 degrees. Your starting point to every point OUTSIDE of that 120 degrees will create a cord that is GREATER than 2. So, 240 degrees of the circle will give you the result that you're looking for.

Final answer: [spoiler]240/360 = 2/3 = D[/spoiler]

GMAT assassins aren't born, they're made,
Rich